Answer: S(-5;3) Q(-2;2) R(-3;-2) T(-6;-1)
When reflected over the y-axis, their x values will change sign
S(5;3) Q(2;2) R(3;-2) T(6;-1)
Translate 3 units to the right, their x values will increase by 3
S(8;3) Q(5;2) R(6;-2) T(9;-1)
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
x=7
12 - x = 5
12 - 7 = 5
Let n = number of nickels, and p = number of pennies.
The number of coins is 25, so we get this equation.
n + p = 25
The value of the coins is 0.05 per nickel, and 0.01 per penny.
0.05n + 0.01p = 0.73
Now you have a system of equations.
n + p = 25
0.05n + 0.01p = 0.73
Solve the first equation for n:
n = 25 - p
Now substitute into the second equation.
0.05(25 - p) + 0.01p = 0.73
1.25 - 0.05p + 0.01p = 0.73
-0.04p = -0.52
p = 13
There were 13 pennies.
Now we substitute 13 for p in n + p = 25 to find out the number of nickels.
n + 13 = 25
n = 12
There are 13 pennies and 12 nickels.
Check: 13 pennies and 12 nickels does total 25 coins.
13 * 0.01 + 12 * 0.05 = 0.13 + 0.60 = 0.73
The value is $0.73.
Our answer is correct.
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Kiara did pretty good, but she misinterpreted the final inequality. if 12.7<x that means that x is larger than 12.7. So she should have shaded the number line to the right in stead of to the left. So D is the answer.
